This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A080394 #11 Aug 11 2024 04:58:22
%S A080394 1,195,273,357,385,399,585,627,665,897,935,945,957,975,1071,1085,1155,
%T A080394 1209,1235,1395,1547,1581,1595,1705,1771,1848,1881,1925,1935,1995,
%U A080394 2035,2091,2193,2255,2295,2331,2365,2405,2475,2574,2583,2585,2639,2665,2679
%N A080394 Numbers k such that binomial(k, floor(k/2)) is divisible by k^2.
%H A080394 Amiram Eldar, <a href="/A080394/b080394.txt">Table of n, a(n) for n = 1..10000</a>
%e A080394 Very few values are even, like 1848 and 2574 (in A067348).
%t A080394 Do[s=Binomial[n, Floor[n/2]]/n^2; If[IntegerQ[s], Print[n]], {n, 1, 10000}]
%o A080394 (PARI) is(k) = !(binomial(k, k\2) % n^2); \\ _Amiram Eldar_, Aug 11 2024
%Y A080394 Cf. A001405, A000984, A067348.
%Y A080394 Cf. A073076.
%K A080394 nonn
%O A080394 1,2
%A A080394 _Labos Elemer_, Mar 18 2003